9040349213280 has 1152 divisors, whose sum is σ = 42515380776960. Its totient is φ = 1768005550080.

The previous prime is 9040349213249. The next prime is 9040349213299. The reversal of 9040349213280 is 823129430409.

9040349213280 is a `hidden beast` number, since 9 + 0 + 4 + 0 + 349 + 21 + 3 + 280 = 666.

It is a super-3 number, since 3×9040349213280³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39469969 + ... + 39698351.

It is an arithmetic number, because the mean of its divisors is an integer number (36905712480).

Almost surely, 2^{9040349213280} is an apocalyptic number.

9040349213280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9040349213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21257690388480).

9040349213280 is an abundant number, since it is smaller than the sum of its proper divisors (33475031563680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9040349213280 is a wasteful number, since it uses less digits than its factorization.

9040349213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228449 (or 228428 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 9040349213280 in words is "nine trillion, forty billion, three hundred forty-nine million, two hundred thirteen thousand, two hundred eighty".